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Finding the Third Proportional to 123,142,539.38 and 267,719,319

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Solution

The third proportional to 123,142,539.38 and 267,719,319 is: 582,037,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,142,539.38 : 267,719,319 = 267,719,319 : x
  2. Step 2: Convert to fraction form
    123,142,539.38/267,719,319 = 267,719,319/x
  3. Step 3: Cross multiply
    123,142,539.38x = 267,719,319 × 267,719,319
  4. Step 4: Simplify right side
    123,142,539.38x = 71,673,633,765,823,760
  5. Step 5: Solve for x
    x = 71,673,633,765,823,760/123,142,539.38
  6. Step 6: Final answer
    x = 582,037,971.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.